Differentiating a logarithmic function in exercise, find the derivative of the function. see examples 1, 2, 3, and 4.
y = ln x/x^2

Step-by-step explanation:

To solve the question we refresh our knowledge of the quotient rule.

For a function f(x) express as a ratio of another functions u(x) and v(x) i.e

, the derivative is express as

from

we assign u(x)=lnx and v(x)=x^2

and the derivatives

.

Note the expression used in determining the derivative of the logarithm function.it was obtain from the general expression of logarithm derivative i.e

If we substitute values into the quotient expression we arrive at

what graph

step-by-step explanation: